228262944 has 384 divisors, whose sum is σ = 823011840. Its totient is φ = 53673984.

The previous prime is 228262943. The next prime is 228262967. The reversal of 228262944 is 449262822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (228262943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4306822 + ... + 4306874.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2^228262944 is an apocalyptic number.

228262944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228262944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411505920).

228262944 is an abundant number, since it is smaller than the sum of its proper divisors (594748896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228262944 is a wasteful number, since it uses less digits than its factorization.

228262944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 228262944 is about 15108.3733075404. The cubic root of 228262944 is about 611.1462314386.

The spelling of 228262944 in words is "two hundred twenty-eight million, two hundred sixty-two thousand, nine hundred forty-four".